Accelerated Overlap Fermions
Abstract
The overlap fermion formalism is a solution of the Ginsparg-Wilson relation and a realisation of chiral symmetry on the lattice. The overlap formula provides a means of deforming any lattice action into a fermion action that possesses an exact chiral symmetry. Unfortunately, its implementation involves the evaluation of a matrix sign function, which makes it significantly more expensive to implement than traditional lattice fermion actions, such as Wilson. Typically, the Wilson fermion action is used as an argument to the matrix sign function, or overlap kernel. In this paper, we accelerate the sign function evaluation by choosing a suitable modification of the Wilson action as the overlap kernel. In particular, we have obtained a factor of two speedup by moving from the Wilson action to a FLIC(Fat Link Irrelevant Clover) action as the overlap kernel.Keywords
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